Answer:
Its 3 triangles that are connected!
Step-by-step explanation:
The 3 points of the FIRST TRIANLE (closest to the left side of the page) has the points of -4, 2 and -4, -5 and -2, -3.
The 2 points of the SECOND TRIANGLE(connected to the first triangle and third triangle,.... and the third triangle makes the second triangle possible!!) and the points are -2, -3 and -1, -6
The 4 points to the THIRD TRIANGLE (The closest to the right side of the page) the points are 6, 6 and 6, -2 and 4, -3 and 1, -6
Answer: 7 units
Step-by-step explanation: Because when you plot (6,6) and(-1,6) you make a line that is 7 units long. Hope this helps if you have the same question i did :)
A car is traveling at a rate of 60 kilometers per hour. What is the car's rate in miles per hour? How many miles will the car travel in 4 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers
Answer:
The rate 37.5 miles per hour
The distance 150 miles
Step-by-step explanation:
∵ 1 mile = 1.6 kilometer
∵ The rate is 60 km/h
∴ The rate = (60 × 1) ÷ 1.6 = 37.5 miles per hour
∵ The car will travel for 4 hours
∴ The distance = 37.5 × 4 = 150 miles
Which speed is faster 20 yards in 1.5 hours or 90 feet in 2.5 hours
To start this question, put all of the terms in the same unit. Yards and feet aren’t equivalent, but a simple multiplication can put them in the same unit (1 yard = 3 feet).
60 feet in 1.5 hours vs. 90 feet in 2.5 hours
Now, put the distance travelled by each in the same amount of time. You can reduce these to one hour each, or you can multiply both by a common denominator to save some fraction work (the first CD I can calculate is 30 hours, so multiply each fraction by the necessary number to bring the denominator to 30).
(60 feet/1.5 hours) x 15 = 900 ft/30 hours
(90 feet/2.5 hours) x 12 = 1080 ft/30 hours
1080 feet in 30 hours is greater than 900 feet in 30 hours, so 90 feet in 2.5 hours is faster than 20 yards in 1.5 hours.
Hope this helps!
what is 1363.2÷16 with the work
Answer:
1363.2 / 16
=85.2
Answer:
85.2
Step-by-step explanation:
first, you need to bring up the decimal. then go through the numbers and see how many times 16 can go into 1 or 13 or 136, so on and so forth. after u do the continue to figure out what 16 goes into with the answers that you get from subtracting until you get your answer of 85.2
Which of the following describes the following graph? PLEASE ANSWER QUICK
A. relation only
B. both a function and a relation
C. function only
D. neither a function nor a relation
Answer:
B
Step-by-step explanation:
There is one input for every output, so it is a function.
And since a relation = function, it is also a relation.
Answer:
The correct answer option is B. both a function and a relation.
Step-by-step explanation:
From the given graph, we can see that for each input we have an output.
It means that we have a function because each element in the domain is matched with exactly one element in the range.
And it is also a relation since each input related to the out put in some way.
Therefore, the correct answer option is B. both a function and a relation,
what is the percent of 200 is 0.5
how describe a shape of a graph
You can describe them by Charts and lines or if it has a single peak
The shape of graphs can vary and be influenced by the number of bars. Understanding general graph shapes is key to interpreting data.
Explanation:The shape of a graph can vary depending on the data being represented. It could have a V shape, a hump in the middle or at either end, or go straight across.
Increasing the number of bars in a graph could affect the shape by making it appear smoother and more continuous or by providing more detailed information.
General shapes of graphs for different types of motion can help in understanding and explaining the data being presented.
which expressions are polynomials? x-1, 6+p, 8x-z^3, 5x^2-√x
The answer is:
- [tex]x-1[/tex]
- [tex]6+p[/tex]
- [tex]8x-z^{3}[/tex]
Why?A polynomial is a mathematical expression that contains constant values like numbers, and variables like "x, y, z or p", these constants and variables can indicate algebraic operations like addition, subtraction, division, and product. The variables can have exponent numbers that define the degree of a polynomial.
- [tex]x-1[/tex] it's a polynomial because it have a constant value (1) and a variable (x), it's a first degree polymonial.
- [tex]6+p[/tex] it's a polynomial because it have a constant value (6) and a variable (p), it's a first degree polynomial.
- [tex]8x-z^{3}[/tex] it's a polynomial since it have a combination of two variables (x and z), it's a third degree polynomial since the largest exponent is 3.
- [tex]5x^{2} -\sqrt{x}[/tex] is not a polynomial since it have a square root. Polynomials does not contains roots.
Have a nice day!
-|2-5| _________ (8-11) compare using < , > or =
Here is your answer
=
REASON:
On solving the given two terms
-|2-5|= -|-3|
= -3 (since |-3|=3)
and,
(8-11)
= -3
Hence,
-|2-5| = (8-11)
HOPE IT IS USEFUL
Final answer:
After calculating the absolute value of (2-5) which is 3, and (8-11) which is -3, we conclude that |2-5| is greater than (8-11), so the right comparison operator is '>'.
Explanation:
The student is asking to compare the absolute value of the difference between 2 and 5 with the difference between 8 and 11 using one of the comparison operators: less than (<), greater than (>), or equal to (=). The absolute value of a number is the non-negative value of that number without regard to its sign. The difference of two numbers is calculated by subtracting the second number from the first one.
To solve the given comparison |2-5| ? (8-11), first, we find the value of each expression. The absolute value of (2-5) is |2-5| = |-3| = 3 because the absolute value of a negative number is its positive counterpart.
For the second expression, (8-11), we simply subtract 11 from 8 to get 8-11 = -3. Now we compare 3 and -3. Since 3 is greater than -3, we can conclude that 3 > -3.
Therefore, |2-5| > (8-11).
14a+2=
What is this answer??
The simplified value of 14a+2 is 2(7a+1).
My pleasure, I’ve been growing my expertise in solving polynomial simplification problems. Let's simplify the expression: 14a+2=
We can simplify the expression by factoring out a 2.
Steps to solve:
1. Factor out a 2:
14a+2=2(7a+1)
Answer:
2(7a+1)
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Which measurement is most accurate to describe the width of a penny?
19 mm
8 cm
1 m
0.3 km
Answer:
19 mm
Step-by-step explanation:
A penny is not that large, and you can fit multiple pennies in the palm of your hand. This means that the only reasonable measurement is 19 mm, (& 8 cm, but that is only if you have really large hands). Therefore, (A) is your choice.
~
The most accurate measurement for the width of a penny is 19 mm. Millimeters are the most precise unit on a standard meterstick for such a small measurement.
The most accurate measurement to describe the width of a penny is 19 mm. A penny is approximately 19 millimeters wide, or 1.9 centimeters (cm). When measuring objects, it is important to use the most precise unit available. In the case of a penny, millimeters provide a more exact measurement than centimeters, which are more precise than meters. Kilometers (km) are used for much larger distances and would not be appropriate for measuring a small object like a penny.
This understanding is based on established scientific conventions for communicating the degree of precision of a measurement, which depend on the smallest marking available on the measuring device. In the absence of smaller markings than millimeters on a typical measuring device like a meterstick, an estimation to the next decimal place is allowed for slightly more precision.
1 millimeter (mm) = 0.001 meter (m)
1 centimeter (cm) = 0.01 meter (m)
1 meter (m) = 3.28 feet (ft)
1 kilometer (km) = 1,000 meters (m)
the total cost to rent a pontoon boat for h hours can be represented by the expression 30h+65. if brianna can spend a maxium of 200, how many hours can she rent the boat?
Answer:
4 hours
Step-by-step explanation:
30(4)+65= 185
Answer: 4.5 hours.
Step-by-step explanation:
Hi, to answer this question we have to write an inequality with the information given;
Cost: 30h+65 (h= hours)
So, the cost must be less or equal to the money that Brianna can spend.(200)
Mathematically speaking:
30h+65 ≤ 200
Solving for h
30h≤ 200 -65
30h ≤ 135
h ≤ 135/30
h≤ 4.5
She can rent the boat for 4.5 hours.
What is the answer to the question?
Answer:
I think the answer is -25
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
This notation basically means "putting the function f into g and then evaluating that at 3".
Let's do this.
[tex](gof)(x)=-(|x+2|})^2\\(gof)(3)=-(|(3)+2|})^2\\(gof)(3)=-(|5|})^2\\(gof)(3)=-(5})^2\\(gof)(3)=-25[/tex]
Thus, A is the correct answer.
What is the sum of all multiples of 3 or 5 below 2,200?
Answer:
Step-by-step explanation:
Three
Sum of all numbers beginning at 0 up to 2200 that are divisible by 3
a = 3
d = 3
L = 2199
Now we need to find out how many there are.
L = a1 + (n - 1)*d
2199 = 3 + (n-1)*3 Subtract 3
2199 - 3 = (n - 1)*3 Divide by 3
2196/3 = n - 1
732 = n - 1 Add 1 to both sides
733 = n
Sum = (a + L)*n /2 Substitute the values
Sum = (3 + 2199)*733/2 Combine and Divide by 2
sum = (1101)*733 Multiply
Sum = 807033
Five
Go through exactly the same steps.
a = 5
L = 2195 ( below 2200. You can't include 2200)
d = 5
L = a + (n-1)*d
2195 = 5 + (n-1)*5
2190 = (n - 1)*5
438 = n - 1
439 = n
Sum = (a + L ) * n
Sum = (5 + 2195)*439/2
Sum = 1100 * 439
Sum = 482900
===============
The problem is ambiguous, so I'm going to leave the two answers that are there.
Here's the problem.
What do you do with the numbers that are divisible by both? I counted them in both sums, but that may not be correct.
As it stands your answer should 965800 + 482900
Nor does it seem right to count them only in 1 sum. So the answer is given by adding the two numbers above.
the diagram represents 6x^2 - 7x + 2 with a factor of 2x - 1. What is the other factor of 6x^2 - 7x + 2?
A. 3x - 2
B. 3x - 1
C. 3x + 1
D. 3x + 2
Answer:
A. 3x - 2Step-by-step explanation:
[tex]\dfrac{6x^2}{2x}=3x,\ \dfrac{-3x}{-1}=3x\\\\\dfrac{-4x}{2x}=-2,\ \dfrac{2}{-1}=-2\\\\\underline{.\qquad|\ \ 2x\ |\ -1\ |}\\\underline{.\ 3x\ \ |\ 6x^2\ |-3x|}\\.\ -2|-4x|\ \ 2\ \ |[/tex]
[tex]\text{Check:}\\\\(2x-1)(3x-2)=(2x)(3x)+(2x)(-2)+(-1)(3x)+(-1)(-2)\\\\=6x^2-4x-3x+2=6x^2-7x+2\qquad\text{CORRECT}[/tex]
Answer:
A. 3x - 2
Step-by-step explanation:
To find the factors on the left hand side of the table, factor out common factor from each row
GCF of 6x^2 and -3x
[tex]6x^2= 3 \cdot 2 \cdot x \cdot x[/tex]
[tex]-3x= -3 \cdot x[/tex]
GCF is 3x
GCF of -4x and 2
[tex]-4x= -2 \cdot 2 \cdot x[/tex]
GCF is -2. Take out negative to make the first term positive.
So other factor is (3x-2)
i don’t understand plz help
Answer:
h - 145 = 457
602 meters
Step-by-step explanation:
The original height of the helicopter is unknown.
Let h = original height of the helicopter.
The helicopter was originally at height h.
The helicopter descended 145 m.
Descending means going down, so it lost height, so we subtract 145 from the original height.
The helicopter is now at a height of h - 145.
The new height is 457 meters.
That means that h - 145 must equal 457.
The equation is
h - 145 = 457
This is a subtraction equation since the only operation is the subtraction on the left side.
To solve the equation, we want h alone on the left side. 145 is being subtracted from h. The opposite operation to subtraction is addition. If we add 145 to the left side, we get h - 145 + 145 which is just h. That's what we want. We must do the same operation to both sides of an equation, so we add 145 to both sides.
h - 145 + 145 = 457 + 145
h = 602
Since h stands for the original height, now we answer that the original height was 602 meters.
14 is 20% percent of what number ?
Answer:
70
Step-by-step explanation:
14*100/20
14* 100= 1400
1400/20= 70
The percentage is a certain proportion of a number. 14 is 20[tex]\%[/tex] of 70.
Percentage is a way of expressing a fraction or proportion out of 100. It is represented by the symbol "%". The word "percent" comes from the Latin phrase "per centum," which means "per hundred."
Percentages are commonly used to describe ratios, rates, or proportions in various fields such as mathematics, finance, statistics, and everyday life. They allow us to compare quantities or express relative changes easily.
Let x be the number whose 20[tex]\%[/tex] is 14.
Then,
20[tex]\%[/tex] of x = x [tex]\times \ \frac{20}{100}[/tex] = 14,
x [tex]\times \ \frac{1}{5}[/tex] = 14,
x = 14 [tex]\times\ 5[/tex],
x = 70.
So, 20[tex]\%[/tex] of 70 is 14.
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Which trigonometric functions are negative in the fourth (IV) quadrant?
Explanation:
On the unit circle we have some point (x,y) such that x = cos(theta) and y = sin(theta). The sine corresponds to the y coordinate of the point on the circle. Quadrant IV is below the x axis which explains why sine is negative here, since y < 0 here.
Since sine is negative, so is cosecant as this is the reciprocal of sine
csc = 1/sin
In quadrant IV, cosine is positive as x > 0 here. So the ratio tan = sin/cos is going to be negative. We have a negative over a positive when we divide.
Because tangent is negative, so is cotangent.
The only positive functions in Q4 are cosine and secant, which is because sec = 1/cos.
Quadrant is the region enclosed by the intersection of the X-axis and the Y-axis.
Trigonometric functions sine , tangent , cotangent , and cosecant are negative in fourth quadrant.
In first quadrant, all trigonometric function will be positive.
In second quadrant, only sine and cosecant trigonometric function is positive.
In third quadrant, only tangent and cotangent will be positive.
In fourth quadrant, only cosine and secant will be positive . Therefore, Trigonometric functions sine , tangent , cotangent , and cosecant are negative in fourth quadrant.
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If there are initially 1800 bacteria in a culture, and the number of bacteria double each hour, the number of bacteria after t hours can be found using the formula N=1800(2^t). About how long will it take the culture to grow to 5400 bacteria?
Answer: 1.58 hours
Step-by-step explanation:
[tex]5400=1800(2)^t\\\\3=2^t\\\\ln\ 3=ln\ 2^t\\\\ln\ 3=t\cdot ln\ 2\\\\\dfrac{ln\ 3}{ln\ 2}=t\\\\1.58=t[/tex]
write one way or representing the equation of the given line in point-slope form. then write the equation in slope-intercept form. (-2,4) (1,-1)
Answer:
[tex]y + 1 =-\frac{5}{3}(x-1)[/tex]
[tex]y = -\frac{5}{3}x + \frac{2}{3}[/tex]
Step-by-step explanation:
To write the equation of a line you need a point and a slope. Use the two points given to find the slope.
[tex]m = \frac{-1 - 4}{1--2} = \frac{-5}{3}[/tex]
Substitute m = -5/3 and the point (1,-1) into the point slope form.
[tex]y - y_1 = m(x-x_1)\\y --1 = -\frac{5}{3}(x-1)\\y + 1 =-\frac{5}{3}(x-1)[/tex]
Use the distributive property to convert to slope intercept form.
[tex]y + 1 = -\frac{5}{3}x + \frac{5}{3}\\y = -\frac{5}{3}x + \frac{5}{3} - 1\\y = -\frac{5}{3}x + \frac{2}{3}[/tex]
Find the distance between the points (5.5) and (3.7). Round your answer to the nearest tenth, if necessary.
Answer:
2.8
Step-by-step explanation:
The formula for the distance between point is
For points (x1, y1) and (x2, y2),
[tex]d = \sqrt{(x1-x2)^{2} + (y1-y2)^{2} }[/tex]
So you would plug into your calculator:
[tex]\sqrt{(5-3)^{2} +(5-7)^{2} }[/tex]
To get an answer of 2.8 when rounded to the nearest tenth.
Help me find the surface area of this. -10 points so please answer!!!
Answer:
Step-by-step explanation:
the rectangle side is 9.3 yd.
the front side is 27.9
the back is 26.35
the top is 12.75 and so is the bottom. then add them
9.3 + 27.9 + 26.35 + 12.75 + 12.75
= 89.5 Yards of area space
Given: LM ∥ KN, KL ∥ NM
LP = h1 = 5, MQ = h2 = 6
Perimeter of KLMN = 42
Find: Area of KLMN
Answer:
57 3/11 square units
Step-by-step explanation:
The area of a parallelogram is the product of its height and the length of the perpendicular base. The given conditions allow us to find the area two ways. Of course, the area is the same in each case, so ...
area(KLMN) = KN·LP = KL·MQ
KN·5 = KL·6 . . . . . substituting the given numbers
KL = (5/6)·KN . . . . solve for one of the lengths in terms of the other
Now, the perimeter is the sum of the side lengths, and opposite sides are the same length, so we have the relation ...
perimeter(KLMN) = KN + KL + KN + KL = 2(KN +KL)
42 = 2(KN +(5/6)KN) = (11/3)KN . . . . . substitute for KL from above
KN = 42·(3/11) . . . . . . multiply by 3/11
area(KLMN) = KN·5 = (42·3/11)·5 = 630/11 = 57 3/11
_____
Check
KN = 126/11
KL = 5/6·KN = 105/11
KN·5 = 630/11 = KL·6 = 630/11 . . . . . areas match
KL+KN = 231/11 = 21 = half the perimeter . . . . . perimeter agrees
Order these fractions from greatest to least: 3/6, 3/9, 3/3, 3/7
least 3/3 3/6 3/7 greatest3/9
Answer:
Step-by-step explanation:
The order will be:
3/3, 3/6, 3/7, 3/9
When the fractions have the same numerator, the minor will be the greatest denominator.
Best regards
evaluate (100)^3 - 30(40)-1
Answer:
998799
Step-by-step explanation:
We are given the following expression and we are to evaluate it:
[tex] ( 1 0 0 ) ^ 3 - 3 0 ( 4 0 ) - 1 [/tex]
Considering the standard rule of order of operations to solve an expression, we will start by solving the brackets first:
[tex] 1 0 0 0 0 0 0 - 1 2 0 0 - 1 [/tex]
Further solving it from left to right:
[tex] 9 9 8 8 0 0 - 1 [/tex]
[tex] 9 9 8 7 9 9 [/tex]
➷ Follow the rules of PEMDAS
Multiply out the parenthesis:
- 30 x 40 = -1200
Now we have this:
(100)^3 - 1200 - 1
Now the exponent:
(100)^3 = 1000000
Now we have this:
1000000 - 1200 - 1
Now just subtract them to give an answer of:
998799
✽➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
Please help me with this
Answer:
AB = 2*sqrt(5) or
AB = 4.47
Step-by-step explanation:
AB is the hypotenuse of a right triangle A and B and the corner where 2 and 4 meet.
The length of AB is governed by the Pythagorean Theorem.
AB^2 = x^2 + y^2 Substitute 2 and 4 for x and y
AB^2 = 2^2 + 4^2 Expand the right side
AB^2 = 4 + 16 Add the right side
AB^2 = 20 Take the square root of both sides
sqrt(AB^2) = sqrt(20)
Factor 20 = 2*2 *5
Rule: when taking the square root of a number the pairs can take 1 member of the pair outside the root sign and throw the other one a way.
AB = 2 * sqrt(5) One of the roots has been thrown away.
which of ther following is not equivalent to x-y+z?
Answer:
its C
Step-by-step explanation:
The equation which is not equivalent to x - y + z is y - x + z, option C is correct.
What is an expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:
Expression: (Math Operator, Number/Variable, Math Operator)
Given expression,
x - y + z
we can compare it with their operators,
x and z are positive and y is negative,
except for option C all other expressions follow the same as given expression,
but in option C x is negative.
Hence, option C is not equivalent to the given equation.
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Find the measure of the supplement of a 9 degree angle. The measure of the supplement of a 9 degree angle is ?
The supplement of a 9 degree angle is 171 degrees.
Final answer:
The measure of the supplement of a 9 degree angle is 171 degrees, which is found by subtracting 9 degrees from 180 degrees.
Explanation:
The measure of the supplement of a 9 degree angle is the amount you would need to add to 9 degrees to reach a straight line, which is 180 degrees. This is calculated by subtracting the given angle from 180 degrees.
To find the measure of the supplement of a 9 degree angle:
Start with a straight line, which measures 180 degrees.
Subtract the given angle from 180 degrees: 180 degrees - 9 degrees.
This results in a supplement of 171 degrees.
Therefore, the supplement of a 9 degree angle is 171 degrees.
Can somebody help with this problem please?
Answer:
The value of a is 1
Step-by-step explanation:
* Lets talk about some facts in the circle
- If two chords equal in length, then they are equal in measure
or if they are equal in measure, then they are equal in length
- All the radii of the circle are equal
* Lets look to the figure
∵ The measure of arc WV = 86°
∵ The measure of arc XY = 86°
∴ The two arcs equal in measure, then they are equal in length
∴ WV = XY
∵ WV = 28
∵ XY = 4a + 24
∴ 4a + 24 = 28 ⇒ subtract 24 from the both sides
∴ 4a = 4 ⇒ divide two sides by 4
∴ a = 1
* The value of a is 1
help me with this question please!! fast!
Answer:
Part a) The equation that represent the depreciation is [tex]y=18,000(0.88)^{x}[/tex]
Part b) The value of the car in 8 years is [tex]\$6,473.42[/tex]
Step-by-step explanation:
Part a)
we know that
The formula to calculate the depreciated value is equal to
[tex]y=P(1-r)^{x}[/tex]
where
y is the depreciated value
P is the original value
r is the rate of depreciation in decimal
x is Number of Time Periods
in this problem we have
[tex]P=\$18,000\\r=12\%=0.12[/tex]
substitute in the formula
[tex]y=18,000(1-0.12)^{x}[/tex]
[tex]y=18,000(0.88)^{x}[/tex] ------> equation that represent the depreciation
Part b) Find the value of the car in 8 years
Substitute the value of [tex]x=8\ years[/tex] in the equation and solve for y
[tex]y=18,000(0.88)^{8}=\$6,473.42[/tex]
Divide section AB into three equal parts
If you have a projector USE IT . first put the tip of it on A then make a half circle passing the middle . DO THE SAME TO B. Then when the circles cross get a line straight the middle like this
To divide segment AB into three equal parts, draw rays from point A and mark three equidistant points. Connect these points to point B to create the divisions. Similarly, for section CD, start from point C and mark three equidistant points along a ray, then connect them to point D to achieve equal divisions.
To divide segment AB into three equal parts and section CD into three equal parts, we can use a geometric construction involving parallel lines and transversals. Here's how you can do it step by step:
Dividing Segment AB into Three Equal Parts:
a. Start by drawing segment AB.
b. Draw a ray starting from point A, extending it at any angle.
c. Using a compass, mark three equal distances along this ray, starting from point A. These will be points A₁, A₂, and A₃.
d. Draw lines from points A₁ and A₃ to point B.
e. The points where these lines intersect segment AB (the points of intersection with the original segment) divide segment AB into three equal parts: AB₁, B₁B₂, and B₂B₃.
Dividing Section CD into Three Equal Parts:
a. Start by drawing section CD.
b. Draw a ray starting from point C, extending it at any angle.
c. Using a compass, mark three equal distances along this ray, starting from point C. These will be points C₁, C₂, and C₃.
d. Draw lines from points C₁ and C₃ to point D.
e. The points where these lines intersect section CD (the points of intersection with the original section) divide section CD into three equal parts: CD₁, D₁D₂, and D₂D₃.
By following these construction steps, you can accurately divide both segment AB and section CD into three equal parts.
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